Stuttgart came from behind to beat Paderborn 2-1 and secure their place in the Bundesliga next season.
Liverpool give U21s more game time than Premier League rivals - but England's top flight lags behind rest of Europe.
A last-gasp own-goal broke Paderborn hearts as they slumped to a 1-0 defeat at Schalke.
Wolfsburg regained second spot from Borussia Monchengladbach and left Paderborn inside the bottom two with a 3-1 win.
Bas Dost scored twice as Wolfsburg secured a Champions League spot, while Cologne guaranteed survival.
Paderborn came from behind to move out of the relegation zone and above their hosts Freiburg with a 2-1 win